Question

what is the solution of 2 sqrt 3x +4 -9=13

Answer 1

To solve the equation \( 2\sqrt{3x} + 4 - 9 = 13 \), we start by simplifying the equation:

1. Combine like terms:
\[
2\sqrt{3x} + 4 - 9 = 13 \implies 2\sqrt{3x} - 5 = 13
\]

2. Add 5 to both sides:
\[
2\sqrt{3x} = 13 + 5 \implies 2\sqrt{3x} = 18
\]

3. Divide both sides by 2:
\[
\sqrt{3x} = \frac{18}{2} \implies \sqrt{3x} = 9
\]

4. Square both sides to eliminate the square root:
\[
3x = 9^2 \implies 3x = 81
\]

5. Divide both sides by 3:
\[
x = \frac{81}{3} \implies x = 27
\]

So, the solution is \( x = 27 \).